A simply supported wide-flange beam has the cross-section and loading as shown in the figure below. X = A 0 m 100 KN 1.6 m B 2.5 m 11.8 mm. 7.24 mm 11.8 mm 166 mm 181.4 mm a) Calculate the moment of inertia of the cross-section about a horizontal axis through the centroid. For a cross-section located at x = 0.7 m, determine the following: b) the principal stresses, ₁ and 2, and the maximum shear stress, Tmax, at the top of the beam. c) the principal stresses, ₁ and 2, and the maximum shear stress, Tmax, at the top of the web (i.e., where the web meets the flange). d) the principal stresses, 1₁ and 2, and the maximum shear stress, Tmax, at the neutral axis of the beam.
A simply supported wide-flange beam has the cross-section and loading as shown in the figure below. X = A 0 m 100 KN 1.6 m B 2.5 m 11.8 mm. 7.24 mm 11.8 mm 166 mm 181.4 mm a) Calculate the moment of inertia of the cross-section about a horizontal axis through the centroid. For a cross-section located at x = 0.7 m, determine the following: b) the principal stresses, ₁ and 2, and the maximum shear stress, Tmax, at the top of the beam. c) the principal stresses, ₁ and 2, and the maximum shear stress, Tmax, at the top of the web (i.e., where the web meets the flange). d) the principal stresses, 1₁ and 2, and the maximum shear stress, Tmax, at the neutral axis of the beam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Need help with b,c,d. Need further elaboration on solution provided before please
Transcribed Image Text:Problem 1
A simply supported wide-flange beam has the cross-section and loading as shown in the figure
below.
X =
A
0m
100 KN
1.6 m
B
2.5 m
11.8 mm
7.24 mm
11.8 mm
166 mm
181.4 mm
a) Calculate the moment of inertia of the cross-section about a horizontal axis through the
centroid.
For a cross-section located at x = 0.7 m, determine the following:
b) the principal stresses, 0₁ and ₂, and the maximum shear stress, Tmax, at the top of the beam.
c) the principal stresses, σ₁ and 2, and the maximum shear stress, Tmax, at the top of the web
(i.e., where the web meets the flange).
d) the principal stresses, 0₁ and 02, and the maximum shear stress, Tmax, at the neutral axis of the
beam.
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